let U ={x ∈ N: x 10} ,A = {x ∈ N: 5 x2 50} - Maths - Sets

Question

let U ={x ∈ N: x < 10} ,A = {x ∈ N:
5 < x2< 50} and B= {x ∈ N is a prime number
<10} Draw a Venn Diagram to show the relationship between the
given sets Hence list the elements of the following sets i] A' ii]
B'
iii]A-B iv] A​∩B'

Ishwarmani · Accepted Answer

Dear
Student,
Please find
below the solution to the asked query:

We have,U=x∈N:x≤10⇒U=1,2,3,4,5,6,7,8,9,10A=x∈N:5<x2<50⇒A=3,4,5,6,7B=x∈N is a prime number<10⇒B=2,3,5,7i A'=U-A=1,2,8,9,10ii B'=U-B=1,4,6,8,9,10iii A-B=4,6iv A∩B'=4,6The venn diagram of the same is as follows:

Regards

let U ={x ∈ N: x < 10} ,A = {x ∈ N: 5 < x2< 50} and B= {x ∈ N is a prime number <10} Draw a Venn Diagram to show the relationship between the given sets .Hence list the elements of the following sets i] A' ii] B' iii]A-B iv] A​∩B'

let U ={x ∈ N: x < 10} ,A = {x ∈ N: 5 < x²< 50} and B= {x ∈ N is a prime number <10} Draw a Venn Diagram to show the relationship between the given sets .Hence list the elements of the following sets i] A' ii] B'
iii]A-B iv] A∩B'